International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January ISSN
|
|
- Shannon Morton
- 6 years ago
- Views:
Transcription
1 International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January Improving the productivity of small and medium scale industries using linear programming model By 1 Ezeliora Chukwuemeka Daniel; 2 Umeh Maryrose Ngozi; 2 Mbeledeogu Njide N.; 3 Ezeokonkwo John U. 1 Department of Industrial and Production Engineering, 2 Department of Computer Science, 3 Department of Building 123 Nnamdi Azikiwe University Awka, Anambra State, Nigeria ABSTRACT: Productivity improvement in small and medium scale enterprise will develop both the economic condition and the industry on its side. During these research operation research techniques where employed to Golden plastic industry limited (GPIL) and a linear programming technique was used in maximizing profit. Productivity therefore improve by applying the linear programming instead of the normal trial and error been employed by the managers of the industry. Key words: Optimization, Linear Programming, Plastic, Productivity, Quantity and Decision Variables Introduction Golden Plastic Industry Limited, Emene produces eight different products. It has the necessary physical facilities to apply linear programming techniques in determining the quantity combination of the different types of products that maximize profit (optimal product mix). Computer facilities are adequate, yet the firm uses the trial-and-error method in determining its product mix. Golden Plastic Industry Limited is chosen for this study for two main reasons. First, it uses the trial-and-error method in arriving at major management decisions even when the researchers feels that a linear programming approach would have given a better result and improve the productivity of the industry. Secondly, Golden Plastic Industry Limited produces eight different products which makes the determination of the quantity combinations of the products produced (product mix) an important and major management decision.
2 International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January Researchers then applied linear programming to determine a new quantity combination. The total contribution to profit of each of the products for the month using the new quantity will now be compared with the total profit contribution made by the former product mix determined by the trial-and-error method. The problems encountered in the process will be noted and from personal interviews and relevant records, other peculiarities shall be established. Radharamanan et al. applied Kaizen philosophy for continuous improvement and to develop the products with higher Objectives of Study: The objective of quality, lower cost, and higher this study is to apply productivity productivity that meet the customer improvement model (PIM) to improve requirements whereas Huang et al. productivity of small and medium scale applied effectiveness metric and industries. simulation analysis for improving Review of Relevance Study: Productivity improvement stimulates researchers to search for methods that can achieve the increase in the productivity which in turn supports business main objectives. In this field of research, many researchers focused on improving process rather than employee performance in order to get more gains in productivity. One of these researchers was Yung who developed a new method to improve the manufacturing process productivity based on rearranging the sequence of tools and techniques by considering the coordination of information flow and selecting only the suitable tools for the specialized problems. The goal of the method was achieved but still there are some factors affecting the workers performance. Radharamanan et al. and Huang et al. also, did not consider the factors affecting the workers performance. manufacturing productivity. In addition to these efforts, Andris and Benjamin used the intimate relationship between four techniques and they proposed an integrated model that shows significant improvement on both quality and productivity of the product and process. The techniques used are Statistical Process Control (SPC), the seven basic tools (histogram, check sheet, cause-and-effect diagram, control
3 International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January chart, Pareto Chart, flow process chart, scatter diagram), KAIZEN (Japanese term of continuous improvement), and Total Quality Management (TQM) principles. However, the main drawback of their model is that SPC, KAIZEN and TQM are very time-consuming and bulky methods. resources such as market demand, production process and equipment storage capacity, raw material available, and so on. They further posit that programming implies planning and by linearity is meant a mathematical expression in which the expressions among the variables are linear. According to Charles, Cooper and Henderson (1963), this is known as Dowing (1992) advocates that the Lagrangian method should be used for optimization problem, and can be any optimization subject to a single approached using mathematical inequality constraint, the Graphic programming. They further refer to approach for optimization subject to linear programming as a uni-objective only two inequality constraints, and the constrained optimization technique. This linear programming model for is because, according to them, it seeks a optimization subject to many inequality single objective of either minimizing or constraints. Supporting this view, maximizing unknown variables in a Dwivedi (28) posits that linear model. In line with this, Gupta and Hira (29) argue that linear programming deals with linear optimization of a function of variables known as objective function subject to set of linear equations programming is of great use in making business decision because it helps in measuring complex economic relations and thereby, provides an optimum solution to the problem of resource and /or inequalities known as allocation. According to him, linear constraints. The objective function may be profit, cost, production capacity or programming technique thus, bridges the gap between abstract economic theories any other measure of effectiveness and managerial decision-making. which is to be obtained in the best Furthermore, he stressed that any linear possible or optimal manner. The programming equation should have three constraints may be imposed by different specifications, namely: objective
4 International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January function specification, constraint equation specification, and nonnegativity requirement. Corroborating this view, several authors (Dowling, 1992, Dwivedi, 28, Koutsoyiannis, 1979, Henderson and Quandt, 23, etc) have given the general specification of the linear programming model. Adeyemo and Otiero (29) also tried to demonstrate that the linear programming maintenance crew out of the 19 model can be extended beyond the realms of Management Sciences and employees are needed in that section to effectively carry out maintenance jobs in organizational decision departments to the industry. But in their own other areas such as Physical and contributions, Nedim et al (22) tried to Environmental Sciences. They used the demonstrate that risk analysis is application of Differential Evolution necessary in order to maximize (DE) and Linear Programming (LP) to resources allocation efficiency and maximize total income (in South African minimize the effects of risk Rand ZAR) of 25 ha planting area where 16 crops are planted and constrained by water availability (using only 1mm3 of irrigation water). It is found that a total income of ZAR 46,6,2 can be derived using linear programming. Ten strategies of DE are tested with this problem varying the population size (NP), crossover constant (CR) and weighing factor (F). It is found that strategy 1, DE/rand-1-bin, with values of NP, CR and F of 16,.95 and.5 respectively obtains the best solution most efficiently. Kareem and Aderoba (28) tried to show the effectiveness of adopting the linear programming model in maintenance and manpower planning using data from a cocoa processing industry in Akure, Ondo State of Nigeria. The result shows that only four environment. They used data from a sample of a company s products taking risk into account as the objective function. The result suggests that producing 5 units of X1 generates 36% loss possibility. If decision makers aim risk not to exceed certain limits, then, variances should be used as constraints. The model suggests that producing 3 units of X1 will decrease the objective function from $432 to $287.
5 International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January This paper is a contribution in this field of research. It focuses on improving process productivity as well as worker performance. It proposes mathematical model that improves the productivity without increasing the risk and the fatigue that affects the worker performance by enabling the user to select the best technique that achieves this aim among set of candidate techniques. necessary information to be collected Research Methods: For this study both from the appropriate and different Quantitative and Qualitative research departments of the industries which we method are employed to get an insight use as the research case study. on the production system of the industries and device a means to improve productivity of the industries. Analyzing Techniques: These was The Qualitative method used will be based on developing a mathematical basically industrial production decision model that aims at improving improvement tools. the productivity of the production Research Design: In the design adopted for this research work, we made use of both Quantitative and Qualitative method of productivity improvement to model the production system of small and medium scale industries in eastern part of Nigeria. The Qualitative methods used are work study, method study and time measurement. These methods where used to carry out Qualitative analysis in order to device a model to improve productivity of the industries. Three industries around eastern Nigeria was used to carry out these research due to the complexity involve in getting small scale industries to carry out research work at these level. The sources of data collection used are both primary and secondary and it allows for process by selecting the best techniques to perform significant operations without increasing the risk, the fatigue, cost and time associated with the implementation of the selected techniques. Linear Programming: Linear programming is the name of a branch of applied mathematics that deals with solving optimization problems of a
6 International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January particular form. Linear programming problems consist of a linear cost function (consisting of a certain number of variables) which is to be minimized or maximized subject to a certain number of constraints. The constraints are linear inequalities of the variables used in the cost function. The cost function is also sometimes called the objective function. Linear programming is closely related to linear algebra; the most noticeable difference is that linear programming However, the following procedures are often uses inequalities in the problem necessary when formulating Linear statement rather than equalities. Programming (LP) problems: write The objective is to maximize or down decisions variables of the problem; minimize a single objective function formulate the objective function in terms relative to a set of constraints. of decision variables; formulate the other conditions/constraints of the problem to A mathematical program is linear, if which the optimization process is subjected to, such as resources F (x 1, x 2,,x n ) and each G (x 1, limitation, market constraints as linear x 2,,x n ) (i =2,3,,n) are linear in equations in terms of the variables; add each of their argument. non-negativity conditions/ constraints- That is, the considerations that negative values of physical variable in most cases do not F(x 1,x 2,,x n ) = c 1 x 1 +c 2 x 2 + +c n x n have any valid physical interpretation. g (x 1,x 2,,x n ) = a 11 x 1 +a 12 x 2 + +a in x n c i and a ij (i = 1,2,..n; j = 1,2,,n) are known constants. All linear programming problems have the following properties in common: all seek to optimize some quantity. This property is referred to as the objective function. There are constraints, which limit the degree to which the objective can be pursued; and there must be alternatives to choose from. The objectives and constraints in linear programming must be expressed in terms of linear equation or inequalities. Summarily, the objective function, the set of constraints and the non-negativity together form the linear programming model of the problem.
7 International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January Model Formulation: When there are n choice variables and m constraints, the productivity improvement model takes the general form with a linear objective function, a set of linear inequality constraints and a set of non-negativity restrictions as its major ingredients. The generalized n variable linear programme can be stated as below: Maximize π = c 1 x 1 + c 2 x c n x n (objective function) where c i, a ij and r i are given constants. The variables x 1,x 2,.., x n are called decision or structural variables. The problem is to find the values of the decision variables (x 1, x 2,, x n ) which maximize the objective function π subject to the m constraints and the nonnegativity restriction on the x j variable. The resulting set of decision variables which maximize the objective function is called the optimal solution. This procedure is called Simplex Algorithm). Subject to a 11 x 1 + a 12 x 2 + The model for use in the present study + a 1n x n r 1 is: a 21 x 1 + a 22 x 2 + MAXIMIZE Z = P 1 X 1 + P 2 X 2 + P 3 X a 2n x n r 2 P 4 X P 8 X 8 P 5 X 5 + P 6 X 6 + P 7 X SUBJECT TO: C 11 X 1 + C 12 X 2 + C 13 X 3 + C 14 X 4 C 15 X 5 + C 16 X 6 + C 17 X 7 + C 18 X 8 B 1 a m1 x 1 + a m2 x a mn x n r m x j (j = 1,2,..n) (nonnegativity restrictions) + C 24 X 4 C 21 X 1 + C 22 X 2 + C 23 X 3
8 International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January C 28 X 8 B 2 C 25 X 5 + C 26 X 6 + C 27 X 7 T t 5 x 5 + t 6 x 6 + t 7 x 7 + t 8 x 8 C 31 X 1 + C 32 X2 + C 33 X 3 X i (where I = 1,2,.,8) + C 34 X 4 C 35 X 5 + C 36 X 6 + C 37 X 7 + C 38 X 8 B 3 C 41 X 1 + C 42 X 2 + C 43 X 3 + C 44 X 4 C 45 X 5 + C 46 X 6 + C 47 X 7 + C 48 X 8 B 4 where: Z = total profit contribution of the various products of GPIL for the month of May, 212. P 1. 8 = profit contribution coefficients i.e. the numerical values that express C 51 X 1 + C 52 X 2 + C 53 X 3 + C 54 X 4 per unit contribution to the profit equation. C 55 X 5 + C 56 X 6 + C 57 X 7 X + C 58 X 8 B 1 8 = the set of unknown we are 5 seeking to determine i.e. the various C 61 X 1 + C 62 X 2 + C 63 X 3 products + C 54 X 4 C 65 X 5 + C 66 X 6 + C 67 X 7 + C 68 X 8 B 6 C 71 X 1 + C 72 X 2 + C 73 X 3 + C 74 X 4 C 75 X 5 + C 76 X 6 + C 77 X 7 + C 78 X 8 B 7 produce by firm. C 1.8 = technological coefficients i.e. the numerical values that express the per unit usage of the right hand side. B 1. 8 = the resource values that we seek to fully utilize. t 1 x 1 + t 2 x 2 + t 3 x 3 + t 4 x 4
9 International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January T = the maximum labour time available for production within the production period (in hours or mins). t 1.8 = the labour time required to produce one unit of the various products of Industry. 75mm by 5.4m light pressure pipes 63mm by 5.4m thick pressure pipes 5mm by 5.4m waste pipes 4mm by 5.4m thick pressure pipes 32mm by 5.4m thick pressure pipes 25mm by 5.4m conduit pipes Estimates of the variables will be 2mm by 5.4m thick pressure pipes. presented in tables. The optimum values of the different brands produced by the In order to produce these pipes, firm will show the combination (product the firm requires different materials in mix) obtained through the application of different combinations. It requires linear programming model. The tables machines of different types and sizes, will also show those resources that are skilled and unskilled labour and raw abundant and those that are in short-fall. materials. But for the purpose of this research work, we shall concentrate on Data Collection and its Products: raw materials and two factors: man and Golden Plastic Industry Limited (GPIL), machine hours needed for production Emene is engaged in the production of from the 1st day to the 31st day of May, different sizes, shapes, and lengths of 212. Other factors are held constant. plastic pipes known as PVC pipes. These The major raw materials used by the products are differentiated by their sizes, firm in the production of the above thickness and length. The pressure pipes products include: used for circulating tap water is usually thicker than the waste pipes used in Resin (the major raw material) water system toilets and bathrooms. The Calcium carbonate products of GPIL include the following: Titanium oxide (Tio 2 ) Stabilizer 11mm by 5.4m thick pressure pipes Cast
10 International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January Carbon black Blend The raw materials are mixed in different proportions and as such take different percentages of the production costs. dioxide Stabilizer 5 Cast 35 Carbon black 7 Blend 26 Labour 648 time(hrs) Table 1: Raw material to the quantity of each pipe specification RAW X1 X2 X3 X4 X5 X6 X7 X8 MATERIAL Resin Calcium carbonate Titanium dioxide 5 Stabilizer Cast X 6 + Carbon black Blend ,5, Labour time in hours Table 2: Cost of various raw materials provided by GPIL RAW TOTAL COST MATERIAL OF EACH RAW MATERIAL Resin 35 Calcium carbonate 15 Titanium 3 Data Analysis: Unit Profit Contribution by the various Products (see below). Based on all the information provided, Golden Plastic can be translated into the model above, thus: MAXIMIZE Z = 3X 1 + 4X 2 +25X X 4 + 3X X 6 +15X 7 +35X 8 SUBJECT TO: 516X X X 3 + 4X X X X 6 18X X X X X X 6 + 6X 7 + 3X 8 1,5, 6X 1 + 4X X 3 + 7X X X 6 + 2X 7 + 1X 8 3,
11 International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January X X X 3 + 5X X X X X 8 5, 48X X 2 + 3X 3 + 4X X X X 7 + 8X 8 35, 84X X X 3 + 6X X X X X 8 7, Results Obtained 24X X X X X X mm by 5.4m thick 2,6, 1.4X X 8.213X X X X X X X X Matlab program will be employed to solve the mathematical problem the result will then be shown below; Table 3: Unit profit contribution by various products S/N PRODUCT PRODUCTION UNIT SELLING UNIT COST PER PRICE (NAIRA) PROFIT UNIT (NAIRA) (NAIRA) 1 11mm by m thick pressure pipe. 2 75mm by m light pressure pipe. 3 63mm by m thick pressure pipe. 4 5mm by m waste pipe. 5 4mm by m thick pressure pipe. 6 32mm by m thick pressure pipe. 7 25mm by m conduit pipe. 8 2mm by m thick pressure pipe. Table 4: The primal optimal values of decision variables S/N DECISION VARIABLES OPTIMUM VALUES pressure pipes x mm by 5.4m light pressure pipes x mm by 5.4 thick pressure pipes x 3 4 5mm by 5.4m waste pipes x 4 5 4mm by 5.4m thick pressure pipes x mm by 5.4m thick pressure pipes x mm by 5.4m conduit pipes x 7 8 2mm by 5.4m thick pressure pipes x 8 114, , Table 5: The dual resources value (shadow prices) RESOURCES VALUE S (SHADO W PRICES )
12 International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January Resin Y 1 Calcium carbonate Y 2 Tio 2 Y 3 2,742,29 1 Stabilizer Y 4 Cast Y 5 Carbon Black Y 6 Blend Y 7 Labour time (hours) Y Optimum Value W Table 6: Post optimality A(unit profit increases) Decision variable Optimal values Profit Table 8: Post optimum c(resource budget and work time increased) Decisionvariable Optimal values X 1 X 1 X 2 X 2 X 3 X 3 X 4 X 5 X 4 X 5 X 6 X 6 X X X X Optimum Value Optimum Profit Table 7: Post optimality B (unit profit decreased) DECISION VARIABLES OPTIMAL VALUE X 1 X 2 X 3 X 4 X 5 X 6 X X Optimum 982,268.8 Table 9: Post optimality D resource budget and working capital Decision variable X 1 Optimal values X 2 X 3 X 4 X 5 X 6
13 International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January X 7 57,138 X 8 Optimal Profit Decision Variables; X 1 = the quantity of 11mm by 5.4m thick pressure pipes to be produced. X 2 = the Quantity of 75mm by 5.4m light pressure pipes to be produced. Profit contribution coefficients represent the numerical values that express the per unit contribution to the profit equation (Z). P 1 = the average net contribution by one unit of 11mm by 5.4m thick pressure pipe. P 2 = the average net contribution by one unit of 75mm by 5.4m light pressure pipe. X 3 = the quantity of 63mm by 5.4m P 3 = the average net contribution by one thick pressure pipes to be produced. X 4 unit of 63mm by 5.4m thick pressure = the quantity of 5mm by 5.4m pipe. waste pipes to be produced. P 4 = the average net contribution by one X 5 = the quantity of 4mm by 5.4m unit of 5mm by 5.4m waste pipe. thick pressure pipes to be produced. P 5 = the average net contribution by one X 6 = the quantity of 32mm by 5.4m unit of 4mm by 5.4m thick pressure thick pressure pipes to be produced. pipe. X 7 = the quantity of 25mm by 5.4m conduit pipes to be produced. X 8 = the quantity of 2mm by 5.4m thick pressure pipes to be produced. Profit Contribution Coefficients (Given Constants) P 6 = the average net contribution by one unit of 32mm by 5.4m thick pressure pipe. P 7 = the average net contribution by one unit of 25mm by 5.4m conduit pipe. P 8 = the average net contribution by one unit of 2mm by 5.4m thick pressure pipe.
14 International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January Technology Coefficients (given constants) In the model, technological coefficients represent the numerical values that express the per unit usage of the various raw materials in the production of the various products. For instance; C 11 = Cost of Resin in producing one unit of 11mm by 5.4m thick pressure pipe. t 2 = the labour time (in hours) required to produce one unit of 75mm by 5.4m light pressure pipe. T = the maximum labour time available for production within the production period etc. Right-hand Side values (given constants) These represent the resource values that we seek to fully utilize. For instance; B C 21 = Cost of Calcium Carbonate used 1 = the amount of money available within the production period for the in producing one unit of 11mm by 5.4m purchase of Resin. thick pressure pipe. B C 71 = Cost of Blend used in producing 2 = the amount of money available within the production period for the one unit of 11mm by 5.4m thick purchase of Calcium carbonate pressure pipe. C 12 = Cost of Resin used in producing one unit of 75mm by 5.4m light pressure pipe etc. Labour Time Labour time here represents the labour time required to produce one unit of the various products of GFIL. For instance; t 1 = the labour time (in hours) required to produce one unit of 11mm by 5.4m thick pressure pipe. Discussion: The various estimated values of the optimization model for Golden Plastic Industry Limited are presented in 6 different tables (tables 4 to 9). Tables 4 and 5 present the primal and dual values of the estimates respectively while tables 6 to 9 present the computer print-out of the post optimality values of the optimization model.
15 International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January From table, the optimal solution of the problem is zero production for 6 out of the 8 products of GPIL. The production level of 25mm by 5.4m conduit pipes and 2mm by 5.4m thick pressure pipes yielded 114,317.2 and 7, respectively while the objective function yielded N1,964,532. But Golden Plastic could only make a total profit of N982,656 from 1st to 31st May, 212. This obvious reduction in stabilizer (Y4), cast (Y5), carbon black (Y6) and blend (Y7) are scarce due to their zero values. This means that they were consumed completely by the activities of the model. Therefore for the optimal solution to be improved, the scarce resources should be increased since any increase of the abundant resources will only make them more abundant without affecting the optimum solution. profit is partly attributed to random selection of product mix and resource The optimal values of the products; 25mm by 5.4m conduit pipes allocation. Application of linear and 2mm by 5.4m thick pressure pipes programming would have indicated to increased and decreased with the post management that the company should optimality C when the resource budget produce only 114,317.2 of 25mm by and working time are increased and 5.4m conduit pipes and of 2mm by 5.4m thick pressure pipes in order to make the maximum profit of decreased respectively. However, it is important to note that the increase in the N1,964,537 and thereof improve resources budget and working time in productivity of (GPIL). The other post optimality C yields a smaller products should not be produced since optimal profit compared to the their production adds more to cost than to profit. The dual solution in table 6 reaffirms the authenticity of the optimal value of the objective function in the primal result. It also shows that while tio 2 (Y3) and labour time (Y8) are abundant due to their positive values, resin (Y1), calcium carbonate (Y2), maximum profit of 1,964,537 naira in table 5 which suggests that there is a limit to which resources can be increased in other to achieve the objective function. Conclusion: The study was successfully determined the product mix of Golden Plastic Industry Limited, Emene. In the
16 International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January process, the optimal quantities of the References various PVC pipes to be produced within the study period in order to improve productivity were established. Also the status of the resources and the unit worth Adeyemo, J. and F. Otiero, 29, Optimizing Planting Areas using Differential Evolution and Linear of each resource to the objective Programming International function were known. This is the Journal of Physical Sciences, advantage of going beyond mere vol.4 pp knowledge of existing decision making Charles, Cooper & Henderson, 1963, tools to actual practical proof of its An Introduction to Linear workability. Another issue becomes how the Programming, John Willy, New York managerial cadre of the productive firms Dowing, E.T., 1992, Theory and at Emene Industrial Layout could be Problems of Introduction to exposed to the rigorous steps involved in Mathematical Economics, arriving at the optimal values of the Schaum s Outline Series, linear programming model. From the McGraw-Hall Inc., New York researchers personal observations in the course of this study, Golden Plastic Industry Limited, Emene was relatively few persons skilled in the Operations Research techniques who also possess a broad understanding of business environment and knowledge of the managerial roles and functions. As such, the firm should rely on outside consultants to bring this and other techniques to bear on management s decision problems. This can go a long way to assisting the management. Emory, W and P. Niland, 1998, Making Management Decisions, Oxford & IBH, New Delhi Gupta, P.K and D.S. Hira, 29, Operations Research, S. Chand Company Limited, New Delhi Henderson, J and R. Quandt, 23, Microeconomic Theory: A Mathematical Approach, McGraw-Hill Book Co., Tata, New Delhi
17 International Journal of Scientific & Engineering Research, Volume 5, Issue 1, January Hillier, F and G. Lieberman, 21, Introduction to Operations Research, McGraw-Hill Book Co., New York Kareem, B and A. Aderoba, 28, Linear Programming based Effective Maintenance and Manpower Planning Strategy, International Journal of the Murugan, N and S. Manivel, 29, Profit Planning of an NGO run Enterprises using Linear Programming Approach, International Research Journal of Finance and Economics, Issue 23, Nedim et al, 22, A sample of Determination of Product Computer, the Internet and combination with Linear Management, vol.16 pp Programming in Risk Environment, European Journal Koji, T and R. Gunner, 22, Image of Economics, Finance and Reconstruction by Linear Administrative Sciences, ISSN Programming, Max Planck , Issue 3 Institute for Biological Cybernetics, Spemannstr, 38, 7276, Germany
Modeling Linear Programming Problem Using Microsoft Excel Solver
Modeling Linear Programming Problem Using Microsoft Excel Solver ADEKUNLE Simon Ayo* & TAFAMEL Andrew Ehiabhi (Ph.D) Department of Business Administration, Faculty of Management Sciences, University of
More informationOPERATIONS RESEARCH Code: MB0048. Section-A
Time: 2 hours OPERATIONS RESEARCH Code: MB0048 Max.Marks:140 Section-A Answer the following 1. Which of the following is an example of a mathematical model? a. Iconic model b. Replacement model c. Analogue
More informationShort-Run Manufacturing Problems at DEC 2. In the fourth quarter of 1989, the corporate demand/supply group of Digital
Short-Run Manufacturing Problems at DEC 2 In the fourth quarter of 1989, the corporate demand/supply group of Digital Equipment Corporation (DEC) was under pressure to come up with a manufacturing plan
More informationThe Use of LP Simplex Method in the Determination of the Minimized Cost of a Newly Developed Core Binder
Leonardo Electronic Journal of Practices and Technologies ISSN 1583-1078 Issue 11, July-December 2007 p. 155-162 The Use of LP Simplex Method in the Determination of the Minimized Cost of a Newly Developed
More informationCh.01 Introduction to Modeling. Management Science / Instructor: Bonghyun Ahn
Ch.01 Introduction to Modeling Management Science / Instructor: Bonghyun Ahn Chapter Topics The Management Science Approach to Problem Solving Model Building: Break-Even Analysis Computer Solution Management
More informationLinear Programming for Revenue Management in Hotel Industry
Linear Programming for Revenue Management in Hotel Industry Mrs Shreelatha Rao, MSc, MBA, PGDHE Welcomgroup Graduate School of Hotel Administration Manipal University Manipal 576 104 Karnataka - India
More informationTRANSPORTATION PROBLEM AND VARIANTS
TRANSPORTATION PROBLEM AND VARIANTS Introduction to Lecture T: Welcome to the next exercise. I hope you enjoyed the previous exercise. S: Sure I did. It is good to learn new concepts. I am beginning to
More informationProduction Planning of LCDs: Optimal Linear Programming and
Production Planning of LCDs: Optimal Linear Programming and Analysis Sensitivity Abstract Al-kuhali K *, Zain Z.M., Hussein M. I. School of Manufacturing Engineering, Universiti Malaysia Perlis Jalan Arau-Changlun,
More informationAssignment Technique for solving Transportation Problem A Case Study
Assignment Technique for solving Transportation Problem A Case Study N. Santosh Ranganath Faculty Member, Department of Commerce and Management Studies Dr. B. R. Ambedkar University, Srikakulam, Andhra
More informationLinear Programming Applications. Structural & Water Resources Problems
Linear Programming Applications Structural & Water Resources Problems 1 Introduction LP has been applied to formulate and solve several types of problems in engineering field LP finds many applications
More informationIntroduction to Management Science 8th Edition by Bernard W. Taylor III. Chapter 1 Management Science
Introduction to Management Science 8th Edition by Bernard W. Taylor III Chapter 1 Management Science Chapter 1- Management Science 1 Chapter Topics The Management Science Approach to Problem Solving Model
More informationAdvances in Engineering & Scientific Research. Research Article FACTORIAL DESIGN AND OPTIMIZATION OF THE WEIGHT OF THE CUBE (KG) IN CONCRETE MIXTURE
www.advancejournals.org Open Access Scientific Publisher Research Article FACTORIAL DESIGN AND OPTIMIZATION OF THE WEIGHT OF THE CUBE (KG) IN CONCRETE MIXTURE ABSTRACT Ejikeme Ifeanyi R 1, Ezeliora Chukwuemeka
More informationProject Quality Management
1 Project Quality Management Unit 8 Eng.elsaka09@gmail.com Project Quality Management Includes the processes and activities of the performing organization that determine quality policies, objectives, and
More information201 Business Statistics & Research Methodology
MBA (CC) Part-I (Semester-II) 1 201 Business Statistics & Research Methodology The objective of this course is to have a general understanding of Research Methodology and Statistics as applicable to Business
More informationA Minimum Spanning Tree Approach of Solving a Transportation Problem
International Journal of Mathematics and Statistics Invention (IJMSI) E-ISSN: 2321 4767 P-ISSN: 2321-4759 Volume 5 Issue 3 March. 2017 PP-09-18 A Minimum Spanning Tree Approach of Solving a Transportation
More informationJournal of Multidisciplinary Engineering Science and Technology (JMEST) ISSN: Vol. 1 Issue 5, December
INVENTORY CONTROL MODELS IN THE PRIVATE SECTOR OF NIGERIAN ECONOMY A CASE STUDY OF CUTIX PLC NNEWI, NIGERIA. Chikwendu, C. R. Department of Mathematics, Faculty of Physical Sciences, Nnamdi Azikiwe University,
More informationThis is a refereed journal and all articles are professionally screened and reviewed
Advances in Environmental Biology, 6(4): 1400-1411, 2012 ISSN 1995-0756 1400 This is a refereed journal and all articles are professionally screened and reviewed ORIGINAL ARTICLE Joint Production and Economic
More informationChapter 3 Formulation of LP Models
Chapter 3 Formulation of LP Models The problems we have considered in Chapters 1 and 2 have had limited scope and their formulations were very straightforward. However, as the complexity of the problem
More informationPRODUCT-MIX ANALYSIS WITH DISCRETE EVENT SIMULATION. Raid Al-Aomar. Classic Advanced Development Systems, Inc. Troy, MI 48083, U.S.A.
Proceedings of the 2000 Winter Simulation Conference J. A. Joines, R. R. Barton, K. Kang, and P. A. Fishwick, eds. PRODUCT-MIX ANALYSIS WITH DISCRETE EVENT SIMULATION Raid Al-Aomar Classic Advanced Development
More informationLinear Programming and Applications
Linear Programming and Applications (v) LP Applications: Water Resources Problems Objectives To formulate LP problems To discuss the applications of LP in Deciding the optimal pattern of irrigation Water
More informationChapter 11. Decision Making and Relevant Information Linear Programming as a Decision Facilitating Tool
Chapter 11 Decision Making and Relevant Information Linear Programming as a Decision Facilitating Tool 1 Introduction This chapter explores cost accounting for decision facilitating purposes It focuses
More information1. Introduction to Operations Research (OR)
1. Introduction to Operations Research (OR) 1.1 Origin of Operations Research 1.2 Concept and Definition of OR 1.3 Characteristics of OR 1.4 Management Applications of OR 1.5 Phases of OR 1.6 Models in
More informationOptimal Productivity And Design Of Production Quantity Of A Manufacturing Industry
Optimal Productivity And Design Of Production Quantity Of A Manufacturing Industry Okolie Paul Chukwulozie, Oluwadare Benjamin Segun,Obika Echezona Nnaemeka,Nwadike Emmanuel Chinagorom, Olagunju Suraj
More informationSPECIAL CONTROL CHARTS
INDUSTIAL ENGINEEING APPLICATIONS AND PACTICES: USES ENCYCLOPEDIA SPECIAL CONTOL CHATS A. Sermet Anagun, PhD STATEMENT OF THE POBLEM Statistical Process Control (SPC) is a powerful collection of problem-solving
More informationLinear Programming. BUS 735: Business Decision Making and Research. Wednesday, November 8, Lecture / Discussion. Worksheet problem.
Linear Programming BUS 735: Business Decision Making and Research Wednesday, November 8, 2017 1 Goals and Agenda Learning Objective Learn how to formulate optimization problems with constraints (linear
More informationA General Framework for Grain Blending and Segregation
Journal of Agribusiness 20,2(Fall 2002):155S161 2002 Agricultural Economics Association of Georgia A General Framework for Grain Blending and Segregation Eswar Sivaraman, Conrad P. Lyford, and B. Wade
More informationA New Technique for Solving Transportation Problems by Using Decomposition-Based Pricing and its Implementation in Real Life
Dhaka Univ. J. Sci. 64(1): 45-50, 2016 (January) A New Technique for Solving Transportation Problems by Using Decomposition-Based Pricing and its Implementation in Real Life Sajal Chakroborty and M. Babul
More informationMARKETING MODELS. Gary L. Lilien Penn State University. Philip Kotler Northwestern University. K. Sridhar Moorthy University of Rochester
MARKETING MODELS Gary L. Lilien Penn State University Philip Kotler Northwestern University K. Sridhar Moorthy University of Rochester Prentice Hall, Englewood Cliffs, New Jersey 07632 CONTENTS PREFACE
More informationISE480 Sequencing and Scheduling
ISE480 Sequencing and Scheduling INTRODUCTION ISE480 Sequencing and Scheduling 2012 2013 Spring term What is Scheduling About? Planning (deciding what to do) and scheduling (setting an order and time for
More informationA FRAMEWORK FOR APPLICATION OF GENETIC ALGORITHM IN PRODUCTIVITY OPTIMIZATION OF HIGHWAY EQUIPMENTS USING EVOLVER SOFTWARE
A FRAMEWORK FOR APPLICATION OF GENETIC ALGORITHM IN PRODUCTIVITY OPTIMIZATION OF HIGHWAY EQUIPMENTS USING EVOLVER SOFTWARE Dr. Debasis Sarkar Associate Professor, Dept. of Civil Engineering, School of
More informationDecision Support and Business Intelligence Systems
Decision Support and Business Intelligence Systems (9 th Ed., Prentice Hall) Chapter 4: Modeling and Analysis Learning Objectives Understand the basic concepts of management support system (MSS) modeling
More informationConstituent proportioning in recycled asphalt mix with multiple RAP sources
Available online at www.sciencedirect.com ScienceDirect Procedia - Social and Behavioral Sciences 104 ( 2013 ) 21 28 2 nd Conference of Transportation Research Group of India (2nd CTRG) Constituent proportioning
More informationLinear Programming. 1 Goals and Agenda. Management 560: Management Science. Tuesday, March 17, 2009
Linear Programming Management 560: Management Science Tuesday, March 17, 2009 1 Goals and Agenda Learning Objective Learn how to formulate optimization problems with constraints (linear programming problems).
More informationAdvances in Engineering & Scientific Research. Research Article
www.advancejournals.org Open Access Scientific Publisher Research Article FACTORIAL ANALYSIS OF CONCRETE PRODUCTION IN HOT AND WARM HUMID ZONES IN SOUTH EAST NIGERIA John Ezeokonkwo 1, Felix Uche Ikechukwu
More informationIntroduction to Quality Management. BPF 2123 Quality Management System
Introduction to Quality Management BPF 2123 Quality Management System 1 Chapter Outline Introduction Changes in the Business Culture Defining Quality Dimensions of Quality Gurus of Quality / TQM Historical
More informationA Traditional Approach to Solve Economic Load Dispatch Problem Considering the Generator Constraints
IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE) e-issn: 2278-1676,p-ISSN: 2320-3331, Volume 10, Issue 2 Ver. III (Mar Apr. 2015), PP 27-32 www.iosrjournals.org A Traditional Approach
More informationThe Transportation and Assignment Problems. Hillier &Lieberman Chapter 8
The Transportation and Assignment Problems Hillier &Lieberman Chapter 8 The Transportation and Assignment Problems Two important special types of linear programming problems The transportation problem
More informationAssessing efficiency of cloud-based services by the method of linear programming S.V. Razumnikov 1, a
Applied Mechanics and Materials Online: 2013-08-30 ISSN: 1662-7482, Vol. 379, pp 235-239 doi:10.4028/www.scientific.net/amm.379.235 2013 Trans Tech Publications, Switzerland Assessing efficiency of cloud-based
More informationProfit Optimization Using Linear Programming Model: A Case Study of Ethiopian Chemical Company
American Journal of Biological and Environmental Statistics 2015; 1(2): 51-57 http://www.sciencepublishinggroup.com/j/ajbes doi: 10.11648/j.ajbes.20150102.12 ISSN: 2471-9765 (Print); ISSN: 2471-979X (Online)
More informationAppraisal of the Effects of Materials Management on Building Productivity in South East Nigeria
Appraisal of the Effects of Materials Management on Building Productivity in South East Nigeria Dr. Chukwuemeka Ngwu, Dr. Kevin C. Okolie, and Dr. John U. Ezeokonkwo Abstract The problem of material management
More informationSHORT ANSWER QUESTIONS (KEY) UNIT- I
SHORT ANSWER QUESTIONS (KEY) UNIT- I 1. Define quality. Quality is the totality of characteristics of an entity that bear on its ability to satisfy stated and implied needs. 2. What do you mean by quality
More informationIntroduction to the course Linear programming. CHEM-E7155 Production Planning and Control
Introduction to the course Linear programming CHEM-E7155 Production Planning and Control 19/04/2012 Lecture 1 Course Introduction Operations Research, Hillier, Lieberman Ch. 1 and 2 Introduction to Linear
More informationPAPER No. : 02 MANAGERIAL ECONOMICS MODULE No. : 03 PRINCIPLES: INDIVIDUAL AND MARKET
Subject Paper No and Title Module No and Title Module Tag 02: Managerial Economics 03: Principles: Individual and Market COM_P2_M3 TABLE OF CONTENTS 1. Learning Outcomes 2. Introduction 3. Principles-
More informationGenetic Algorithms and Sensitivity Analysis in Production Planning Optimization
Genetic Algorithms and Sensitivity Analysis in Production Planning Optimization CECÍLIA REIS 1,2, LEONARDO PAIVA 2, JORGE MOUTINHO 2, VIRIATO M. MARQUES 1,3 1 GECAD Knowledge Engineering and Decision Support
More informationUTILIZATION OF SOCIAL MEDIA AS AN E-MARKETING TECHNOLOGY BY SMALL AND MEDIUM SCALE BUSINESS OPERATORS IN ONDO AND EKITI STATES, NIGERIA
UTILIZATION OF SOCIAL MEDIA AS AN E-MARKETING TECHNOLOGY BY SMALL AND MEDIUM SCALE BUSINESS OPERATORS IN ONDO AND EKITI STATES, NIGERIA ILE, CHIKA MADU (PhD) Department of Vocational Education Nnamdi Azikiwe
More informationMINIMIZATION OF ELECTRICITY CONSUMPTION COST OF A TYPICAL FACTORY
MINIMIZATION OF ELECTRICITY CONSUMPTION COST OF A TYPICAL FACTORY N. A. Chaudhry, * S. S. Chaudhry, ** A. Junaid, *** J. Ali and **** Q. A. Chaudhry Department of Mathematics, UCEST, Lahore Leads University,
More informationAlternative Methods for Business Process Planning
Volume 7 (21) Issue 22016 DOI 10.1515/vjes-2016-0011 Alternative Methods for Business Process Planning Veronica STEFAN Valentin RADU Valahia University of Targoviste, Romania veronica.stefan@ats.com.ro
More informationApplication of statistical tools and techniques in Quality Management
Application of statistical tools and techniques in Quality Management Asst. Professor Dr Predrag Djordjevic University of Belgrade, Technical Faculty in Bor, Serbia QUALITY IN SOCIETY The concept was known
More informationModeling of competition in revenue management Petr Fiala 1
Modeling of competition in revenue management Petr Fiala 1 Abstract. Revenue management (RM) is the art and science of predicting consumer behavior and optimizing price and product availability to maximize
More informationPricing with Market Power
Chapter 7 Pricing with Market Power 7.1 Motives and objectives Broadly The model of perfect competition is extreme (and hence wonderfully powerful and simple) because of its assumption that each firm believes
More informationWRITTEN PRELIMINARY Ph.D. EXAMINATION. Department of Applied Economics. University of Minnesota. June 16, 2014 MANAGERIAL, FINANCIAL, MARKETING
WRITTEN PRELIMINARY Ph.D. EXAMINATION Department of Applied Economics University of Minnesota June 16, 2014 MANAGERIAL, FINANCIAL, MARKETING AND PRODUCTION ECONOMICS FIELD Instructions: Write your code
More informationone Introduction chapter Overview Chapter
one Introduction Chapter chapter Overview 1.1 Introduction to Decision Support Systems 1.2 Defining a Decision Support System 1.3 Decision Support Systems Applications 1.4 Textbook Overview 1.5 Summary
More informationProductivity Improvement in Assembly Line of an Automobile Industry
IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) e-issn: 2278-1684,p-ISSN: 2320-334X, Volume 12, Issue 4 Ver. III (Jul. - Aug. 2015), PP 01-06 www.iosrjournals.org Productivity Improvement
More informationApplication of Transportation Linear Programming Algorithms to Cost Reduction in Nigeria Soft Drinks Industry
Application of Transportation Linear Programming Algorithms to Cost Reduction in Nigeria Soft Drinks Industry A. O. Salami Abstract The transportation problems are primarily concerned with the optimal
More informationOPTIMAL ALLOCATION OF WORK IN A TWO-STEP PRODUCTION PROCESS USING CIRCULATING PALLETS. Arne Thesen
Arne Thesen: Optimal allocation of work... /3/98 :5 PM Page OPTIMAL ALLOCATION OF WORK IN A TWO-STEP PRODUCTION PROCESS USING CIRCULATING PALLETS. Arne Thesen Department of Industrial Engineering, University
More informationLinear Programming-Based Optimization of Synthetic Fertilizers Formulation
Journal of Agricultural Science; Vol. 6, No. 12; 2014 ISSN 1916-9752 E-ISSN 1916-9760 Published by Canadian Center of Science and Education Linear Programming-Based Optimization of Synthetic Fertilizers
More informationP2 Performance Management September 2013 examination
Management Level Paper P2 Performance Management September 2013 examination Examiner s Answers Note: Some of the answers that follow are fuller and more comprehensive than would be expected from a well-prepared
More informationEfficiency in Sugarcane Production Under Tank Irrigation Systems in Tamil Nadu, India
Efficiency in Sugarcane Production Under Tank Irrigation Systems in Tamil Nadu, India A. Nanthakumaran 1, # and K. Palanisami 2 1 Dept. of Biological Science, Faculty of Applied Sciences, Vavuniya Campus,
More informationIntegrated Mechanisms of Organizational Behavior Control
Advances in Systems Science and Application. 2013. Vol. 13. 2. P. 1 9. Integrated Mechanisms of Organizational Behavior Control V.N. Burkov, M.V. Goubko, N.A. Korgin, D.A. Novikov Institute of Control
More informationEconomics B.A./B.Sc.: Elective and Optional Outlines of Tests
Outlines of Tests and Courses of Reading BA/B Sc Pass Course 1 Economics B.A./B.Sc.: Elective and Optional Outlines of Tests Part- I Paper Title of Course Marks A : Basic Mathematics and Microeconomics
More informationISE 204 OR II. Chapter 8 The Transportation and Assignment Problems. Asst. Prof. Dr. Deniz TÜRSEL ELİİYİ
ISE 204 OR II Chapter 8 The Transportation and Assignment Problems Asst. Prof. Dr. Deniz TÜRSEL ELİİYİ 1 The Transportation and Assignment Problems Transportation Problems: A special class of Linear Programming
More informationTechniques of Operations Research
Techniques of Operations Research C HAPTER 2 2.1 INTRODUCTION The term, Operations Research was first coined in 1940 by McClosky and Trefthen in a small town called Bowdsey of the United Kingdom. This
More informationMarketing COURSE NUMBER: 22:630:609 COURSE TITLE: Marketing Strategy
Marketing COURSE NUMBER: 22:630:609 COURSE TITLE: Marketing Strategy COURSE DESCRIPTION This is a hands-on course that emphasizes decision-making. Throughout the course, the focus is on helping you to
More informationEconomic Load Dispatch Solution Including Transmission Losses Using MOPSO
International Journal of Engineering Research and Development e-issn: 2278-067X, p-issn: 2278-800X, www.ijerd.com Volume 9, Issue 11 (February 2014), PP. 15-23 Economic Load Dispatch Solution Including
More information* Project over a ten year time horizon,
FORECASTING RESIDENTIAL, COMMERCIAL, AND INDUSTRIAL GAS DEMAND Jeffrey P. Brand, Wisconsin Gas Company James D. Funk, Wisconsin Gas Company ABSTRACT This paper shows how the Wisconsin Gas Company used
More informationKey Drivers algorithm classifies the aspects measured in the survey into four categories
Key Drivers Analysis There are probably many things you would like to improve about your organization. Since it is unlikely that you are going to get the resources to address them all, the challenge to
More informationINTRODUCTION TO MANAGERIAL ECONOMICS
BEC 30325: MANAGERIAL ECONOMICS Session 01 INTRODUCTION TO MANAGERIAL ECONOMICS Dr. Sumudu Perera Session Outline Nature and scope of Managerial Economics Goals and Constraints of business organizations
More informationAgro-Science Journal of Tropical Agriculture, Food, Environment and Extension Volume 7 Number 1 January, 2008 pp ISSN
22 Agro-Science Journal of Tropical Agriculture, Food, Environment and Extension Volume 7 Number 1 January, 2008 pp. 22-26 ISSN 1119-7455 URL: http://www.agrosciencejournal.com/ SOCIO-ECONOMIC ANALYSIS
More informationABS Software Brochure
Brochure The is a fully integrated, linear programming software package that will optimize site specific melting economics. Your customized solution could include the following: Least Cost Charge Design
More informationLOADING AND SEQUENCING JOBS WITH A FASTEST MACHINE AMONG OTHERS
Advances in Production Engineering & Management 4 (2009) 3, 127-138 ISSN 1854-6250 Scientific paper LOADING AND SEQUENCING JOBS WITH A FASTEST MACHINE AMONG OTHERS Ahmad, I. * & Al-aney, K.I.M. ** *Department
More information1) Operating costs, such as fuel and labour. 2) Maintenance costs, such as overhaul of engines and spraying.
NUMBER ONE QUESTIONS Boni Wahome, a financial analyst at Green City Bus Company Ltd. is examining the behavior of the company s monthly transportation costs for budgeting purposes. The transportation costs
More informationEnvironmental Economic Theory No. 10 (26 December 2017)
Professional Career Program Environmental Economic Theory No. 10 (26 December 2017) Chapter 12. Incentive-based strategies: Emission charges and subsidies Instructor: Eiji HOSODA Textbook: Barry.C. Field
More informationFACULTY OF BUSINESS AND ACCOUNTANCY
FACULTY OF BUSINESS AND ACCOUNTANCY List of Courses Offered for University of Malaya Student Exchange (UMSEP) for 2018/2019 Academic Session No. Course Code Topic Pre- Requisite Credit Course Offered Semester
More informationTeam Work Competences Needed by Business Education Graduate Employees for Effective Job Performance in Organizations (Pp )
An International Multidisciplinary Journal, Ethiopia Vol. 6 (2), Serial No. 25, April, 2012 ISSN 1994-9057 (Print) ISSN 2070--0083 (Online) DOI: http://dx.doi.org/10.4314/afrrev.v6i2.21 Team Work Competences
More informationStochastic Single Machine Family Scheduling To Minimize the Number of Risky Jobs
Stochastic Single Machine Family Scheduling To Minimize the Number of Risky Jobs Gökhan Eğilmez Ͼ, Gürsel A. Süer Industrial and Systems Engineering Department Russ College of Engineering and Technology
More informationLECTURE 13 THE NEOCLASSICAL OR WALRASIAN EQUILIBRIUM INTRODUCTION
LECTURE 13 THE NEOCLASSICAL OR WALRASIAN EQUILIBRIUM INTRODUCTION JACOB T. SCHWARTZ EDITED BY KENNETH R. DRIESSEL Abstract. Our model is like that of Arrow and Debreu, but with linear Leontief-like features,
More information(Received 5 June 2008, accepted 25 October 2008, published December 2008)
JOURNAL OF QUANTITATIVE METHODS Vo14, No.2 December 2008 ISSN 1693-5098 OPTIMIZATION OF EAST JAVA ECONOMY BY APPLYING GOVERNMENT POLICY TO MAXIMIZE EMPLOYMENT ABSORPTION (Linear Programming Input-Output
More informationINTRODUCTION TO MANAGERIAL ECONOMICS
BEC 30325: MANAGERIAL ECONOMICS Session 01 INTRODUCTION TO MANAGERIAL ECONOMICS Dr. Sumudu Perera Session Outline Nature and scope of Managerial Economics Goals and Constraints of business organizations
More informationJournal of Industrial Organization Education
Journal of Industrial Organization Education Volume 2, Issue 1 2007 Article 1 Simulating Tariffs vs. Quotas with Domestic Monopoly John Gilbert, Utah State University Reza Oladi, Utah State University
More informationMIGRATION AND POLLUTION *
IGRTION ND POLLUTION * Raghbendra Jha, ustralian National University and John Whalley, University of Western Ontario and NBER January 2003 bstract We explore the links between migration of labour and location
More informationS Due March PM 10 percent of Final
MGMT 2012- Introduction to Quantitative Methods- Graded Assignment One Grade S2-2014-15- Due March 22 11.55 PM 10 percent of Final Question 1 A CWD Investments, is a brokerage firm that specializes in
More informationDECISION-MAKING STRATEGIES REGARDING LOGISTICS ORGANIZATION
DECISION-MAKING STRATEGIES REGARDING LOGISTICS ORGANIZATION Ioana Olariu Vasile Alecsandri University of Bacau ioana_barin_olariu@yahoo.com Abstract In the face of higher costs of operation and increasing
More informationThe Tri-Star Simulation Model
The Tri-Star Simulation Model After Mark Redmond and his former colleague, Hal Brookings, finished a nice dinner at Mark s country club and a lengthy discussion of Hal s experiences with lean manufacturing,
More informationDevelopment of Mathematical Models for Predicting Customers Satisfaction in the Banking System with a Queuing Model Using Regression Method
American Journal of Operations Management and Information Systems 2017; 2(3): 86-91 http://www.sciencepublishinggroup.com/j/ajomis doi: 10.11648/j.ajomis.20170203.14 Development of Mathematical Models
More informationCHAPTER 12 LINEAR PROGRAMMING POINTS TO REMEMBER
For more important questions visit : www.4ono.com CHAPTER 12 LINEAR PROGRAMMING POINTS TO REMEMBER Linear programming is the process used to obtain minimum or maximum value of the linear objective function
More informationSCHEDULING AND CONTROLLING PRODUCTION ACTIVITIES
SCHEDULING AND CONTROLLING PRODUCTION ACTIVITIES Al-Naimi Assistant Professor Industrial Engineering Branch Department of Production Engineering and Metallurgy University of Technology Baghdad - Iraq dr.mahmoudalnaimi@uotechnology.edu.iq
More informationTRANSPORTATION MODEL IN DELIVERY GOODS USING RAILWAY SYSTEMS
TRANSPORTATION MODEL IN DELIVERY GOODS USING RAILWAY SYSTEMS Fauziah Ab Rahman Malaysian Institute of Marine Engineering Technology Universiti Kuala Lumpur Lumut, Perak, Malaysia fauziahabra@unikl.edu.my
More informationAddress for Correspondence
Research Paper OPTIMIZATION OF CRITICAL TO QUALITY PARAMETERS OF VERTICAL SPINDLE SURFACE GRINDER 1 Maheshkumar A. Sutar, 2 Anil R. Acharya Address for Correspondence 1 Student, 2 Professor, Government
More informationIntegrated Scheduling and Dynamic Optimization of Batch Processes Using State Equipment Networks
Integrated Scheduling and Dynamic Optimization of Batch Processes Using State Equipment Networks Yisu Nie 1 Lorenz T. Biegler 1 John M. Wassick 2 1 Center for Advanced Process Decision-making Department
More informationAN APPLICATION OF LINEAR PROGRAMMING IN PERFORMANCE EVALUATION
AN APPLICATION OF LINEAR PROGRAMMING IN PERFORMANCE EVALUATION Livinus U Uko, Georgia Gwinnett College Robert J Lutz, Georgia Gwinnett College James A Weisel, Georgia Gwinnett College ABSTRACT Assessing
More informationRELIABILITY BASED OPTIMAL DESIGN OF A WATER DISTRIBUTION NETWORK FOR MUNICIPAL WATER SUPPLY
RELIABILITY BASED OPTIMAL DESIGN OF A WATER DISTRIBUTION NETWORK FOR MUNICIPAL WATER SUPPLY S.Chandramouli 1 and P.Malleswararao 2 1.Associate Professor, Department of Civil Engineering, GMRIT, Rajam,
More informationThe Concept of Bottleneck
The Concept of Bottleneck Saral Mukherjee (Speaker) A. K. Chatterjee Abstract The paper provides a classification of bottleneck definitions available in literature and discusses several myths associated
More informationMEASUREMENT OF PRODUCTIVITY AND EFFICIENCY OF POTATO PRODUCTION IN TWO SELECTED AREAS OF BANGLADESH: A TRANSLOG STOCHASTIC FRONTIER ANALYSIS
Progress. Agric. 21(1 & 2): 233 245, 2010 ISSN 1017-8139 MEASUREMENT OF PRODUCTIVITY AND EFFICIENCY OF POTATO PRODUCTION IN TWO SELECTED AREAS OF BANGLADESH: A TRANSLOG STOCHASTIC FRONTIER ANALYSIS A.
More informationIndividual Job Assignment using the Qualification Matrix
Individual Job Assignment using the Qualification Matri S.KHANMOHAMMADI, A.HAJIHA, J.JASSBI System Department I.A. University, Science & Research campus oonak Sq. Ashrafi Esfahani Blv., Hesarak, Tehran,
More informationMGSC 1205 Quantitative Methods I
MGSC 1205 Quantitative Methods I Class Seven Sensitivity Analysis Ammar Sarhan 1 How can we handle changes? We have solved LP problems under deterministic assumptions. find an optimum solution given certain
More informationAFRREV STECH An International Journal of Science and Technology Bahir Dar, Ethiopia Vol.1 (3) August-December, 2012:54-65
AFRREV STECH An International Journal of Science and Technology Bahir Dar, Ethiopia Vol.1 (3) August-December, 2012:54-65 ISSN 2225-8612 (Print) ISSN 2227-5444 (Online) Optimization Modelling for Multi-Objective
More informationThe Transportation and Assignment Problems. Chapter 9: Hillier and Lieberman Chapter 7: Decision Tools for Agribusiness Dr. Hurley s AGB 328 Course
The Transportation and Assignment Problems Chapter 9: Hillier and Lieberman Chapter 7: Decision Tools for Agribusiness Dr. Hurley s AGB 328 Course Terms to Know Sources Destinations Supply Demand The Requirements
More informationGetting Started with OptQuest
Getting Started with OptQuest What OptQuest does Futura Apartments model example Portfolio Allocation model example Defining decision variables in Crystal Ball Running OptQuest Specifying decision variable
More informationTransportation problem
Transportation problem Operations research (OR) are concerned with scientifically deciding how to best design and operate people machine systems, usually under conditions requiring the allocation of scarce
More informationINDIAN INSTITUTE OF MATERIALS MANAGEMENT Post Graduate Diploma in Materials Management PAPER 18 C OPERATIONS RESEARCH.
INDIAN INSTITUTE OF MATERIALS MANAGEMENT Post Graduate Diploma in Materials Management PAPER 18 C OPERATIONS RESEARCH. Dec 2014 DATE: 20.12.2014 Max. Marks: 100 TIME: 2.00 p.m to 5.00 p.m. Duration: 03
More information